Engineering Transactions, 60, 3, pp. 225–284, 2012

Multiscale Constitutive Modelling of the Influence of Anisotropy Effects on Fracture Phenomena in Inelastic Solids

Piotr PERZYNA
Institute of Fundamental Technological Research Polish Academy of Sciences

The main objective of the present paper is the consistent development of the thermody-
namical theory of elasto-viscoplasticity within the framework of a unique constitutive material
structure. The focus of attention on the description of the influence of anisotropy effects on
fracture phenomena is proposed.
In the first part a general principle of determinism is formulated and a unique constitutive
material structure is developed. The original conception of the intrinsic state of a particle X
during motion of a body B has been assumed. A notion of the method of preparation of the
deformation-temperature configuration of a particle X has been proposed as a simple way of
the gathering information for the description of the internal dissipation. As the basis of the
thermodynamical requirements the dissipation principle in the form of the Clausius-Duhem
inequality is assumed. By particular assumption of the method of preparation space for a
unique constitutive material structure the internal state variable material structure has been
constructed. In the second part the thermodynamical theory of elasto-viscoplasticity within
the framework of the internal state variable material structure is formulated. Introduction of
a finite set of the internal state variables is based on multiscale considerations in analysis
of the physical foundations of inelastic solids and experimental observation results. Particular
attention is focused on the determination of the evolution laws for the introduced internal state
variables. Fracture criterion based on the evolution of the anisotropic intrinsic microdamage is
proposed.
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